| Label |
Cremona label |
Class |
Cremona class |
Class size |
Class degree |
Conductor |
Discriminant |
Rank |
Torsion |
$\textrm{End}^0(E_{\overline\Q})$ |
CM |
Sato-Tate |
Semistable |
Potentially good |
Nonmax $\ell$ |
$\ell$-adic images |
mod-$\ell$ images |
Adelic level |
Adelic index |
Adelic genus |
Regulator |
$Ш_{\textrm{an}}$ |
Ш primes |
Integral points |
Modular degree |
Faltings height |
j-invariant |
$abc$ quality |
Szpiro ratio |
Weierstrass coefficients |
Weierstrass equation |
mod-$m$ images |
MW-generators |
| 30030.bt3 |
30030bt7 |
30030.bt |
30030bt |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 11^{12} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
✓ |
|
$2, 3$ |
4.12.0.8, 3.8.0.2 |
2B, 3B.1.2 |
$24024$ |
$384$ |
$5$ |
$19.62067392$ |
$1$ |
|
$0$ |
$9289728$ |
$3.543674$ |
$620954771108295351491118574129/2882378618771462717156250$ |
$1.01671$ |
$6.65387$ |
$[1, 0, 0, -177737371, -908394585049]$ |
\(y^2+xy=x^3-177737371x-908394585049\) |
2.3.0.a.1, 3.8.0-3.a.1.1, 4.12.0-4.c.1.2, 6.24.0-6.a.1.2, 12.96.0-12.c.4.6, $\ldots$ |
$[(238953091/110, 2398623488309/110)]$ |
| 90090.ce3 |
90090cd7 |
90090.ce |
90090cd |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{7} \cdot 5^{6} \cdot 7^{3} \cdot 11^{12} \cdot 13^{4} \) |
$0$ |
$\Z/6\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.8.0.1 |
2B, 3B.1.1 |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$4$ |
$74317824$ |
$4.092979$ |
$620954771108295351491118574129/2882378618771462717156250$ |
$1.01671$ |
$6.59090$ |
$[1, -1, 0, -1599636339, 24526653796323]$ |
\(y^2+xy=x^3-x^2-1599636339x+24526653796323\) |
2.3.0.a.1, 3.8.0-3.a.1.2, 4.6.0.c.1, 6.24.0-6.a.1.4, 12.96.0-12.c.4.5, $\ldots$ |
$[]$ |
| 150150.e3 |
150150gn8 |
150150.e |
150150gn |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3 \cdot 5^{12} \cdot 7^{3} \cdot 11^{12} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$22.80097458$ |
$4$ |
$2$ |
$0$ |
$222953472$ |
$4.348396$ |
$620954771108295351491118574129/2882378618771462717156250$ |
$1.01671$ |
$6.56558$ |
$[1, 1, 0, -4443434275, -113549323131125]$ |
\(y^2+xy=x^3+x^2-4443434275x-113549323131125\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(346119488395/2121, 1264604840753990/2121)]$ |
| 210210.dn3 |
210210cg7 |
210210.dn |
210210cg |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7^{2} \cdot 11 \cdot 13 \) |
\( 2 \cdot 3 \cdot 5^{6} \cdot 7^{9} \cdot 11^{12} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$16$ |
$2$ |
$0$ |
$445906944$ |
$4.516632$ |
$620954771108295351491118574129/2882378618771462717156250$ |
$1.01671$ |
$6.55005$ |
$[1, 1, 1, -8709131180, 311570633540627]$ |
\(y^2+xy+y=x^3+x^2-8709131180x+311570633540627\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[]$ |
| 240240.bc3 |
240240bc7 |
240240.bc |
240240bc |
$8$ |
$12$ |
\( 2^{4} \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13 \) |
\( 2^{13} \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 11^{12} \cdot 13^{4} \) |
$0$ |
$\Z/4\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.12.0.7, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$3$ |
$222953472$ |
$4.236824$ |
$620954771108295351491118574129/2882378618771462717156250$ |
$1.01671$ |
$6.20844$ |
$[0, -1, 0, -2843797936, 58137253443136]$ |
\(y^2=x^3-x^2-2843797936x+58137253443136\) |
2.3.0.a.1, 3.4.0.a.1, 4.12.0-4.c.1.1, 6.12.0.a.1, 12.96.0-12.c.4.8, $\ldots$ |
$[]$ |
| 330330.br3 |
330330br7 |
330330.br |
330330br |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11^{2} \cdot 13 \) |
\( 2 \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 11^{18} \cdot 13^{4} \) |
$1$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$68.69482858$ |
$1$ |
|
$0$ |
$1114767360$ |
$4.742622$ |
$620954771108295351491118574129/2882378618771462717156250$ |
$1.01671$ |
$6.53049$ |
$[1, 0, 1, -21506221894, 1209051686478326]$ |
\(y^2+xy+y=x^3-21506221894x+1209051686478326\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[(684910875201311882729856326406/770719337875, 562185879671147577018176937221124052321862446/770719337875)]$ |
| 390390.bz3 |
390390bz8 |
390390.bz |
390390bz |
$8$ |
$12$ |
\( 2 \cdot 3 \cdot 5 \cdot 7 \cdot 11 \cdot 13^{2} \) |
\( 2 \cdot 3 \cdot 5^{6} \cdot 7^{3} \cdot 11^{12} \cdot 13^{10} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$24024$ |
$384$ |
$5$ |
$1$ |
$4$ |
$2$ |
$0$ |
$1560674304$ |
$4.826149$ |
$620954771108295351491118574129/2882378618771462717156250$ |
$1.01671$ |
$6.52360$ |
$[1, 0, 1, -30037615703, -1995712865736952]$ |
\(y^2+xy+y=x^3-30037615703x-1995712865736952\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[]$ |
| 450450.hc3 |
450450hc7 |
450450.hc |
450450hc |
$8$ |
$12$ |
\( 2 \cdot 3^{2} \cdot 5^{2} \cdot 7 \cdot 11 \cdot 13 \) |
\( 2 \cdot 3^{7} \cdot 5^{12} \cdot 7^{3} \cdot 11^{12} \cdot 13^{4} \) |
$0$ |
$\Z/2\Z$ |
$\Q$ |
|
$\mathrm{SU}(2)$ |
|
|
$2, 3$ |
4.6.0.1, 3.4.0.1 |
2B, 3B |
$120120$ |
$384$ |
$5$ |
$1$ |
$1$ |
|
$0$ |
$1783627776$ |
$4.897697$ |
$620954771108295351491118574129/2882378618771462717156250$ |
$1.01671$ |
$6.51785$ |
$[1, -1, 1, -39990908480, 3065791733631897]$ |
\(y^2+xy+y=x^3-x^2-39990908480x+3065791733631897\) |
2.3.0.a.1, 3.4.0.a.1, 4.6.0.c.1, 6.12.0.a.1, 12.48.0.c.4, $\ldots$ |
$[]$ |
